Abstract
In this paper we shall characterize the space of Fourier ultra-hyperfunctions by the Mehler kernel method. That is, we show that any Fourier ultra-hyperfunctions are characterized as initial values of the solutions of Hermite heat equation.
| Original language | English |
|---|---|
| Pages (from-to) | 346-368 |
| Number of pages | 23 |
| Journal | Complex Variables and Elliptic Equations |
| Volume | 67 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2022 |
Keywords
- 46F15
- 46F20
- Hermite heat equation
- Hyperfunctions
- Mehler kernel
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics